That's good. But personally speaking, I don't think sending an email to MP is a good approach. The PR application is very important to you and you can show that by visiting the MP's office personally (not by just sending an email). Moreover, you have very less time. Most of the MPs take couple of weeks to respond, the time which you don't have. If you want to get it done fast, I'd suggest your wife should take an appointment and visit the MP's office on Monday. She might need to push the MP to act faster on your issue otherwise your it might be one pending in the long queue of items they are working on.